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Questions and Answers
What is the inverse function of $f(x) = rac{1}{2} imes 3^x$?
What is the inverse function of $f(x) = rac{1}{2} imes 3^x$?
- $f^{-1}(x) = rac{1}{2} imes 3^x$
- $f^{-1}(x) = rac{1}{2} imes rac{1}{3^x}$
- $f^{-1}(x) = rac{1}{3} imes 2^x$ (correct)
- $f^{-1}(x) = rac{1}{2} imes rac{1}{3}^x$
What is the vertical asymptote of the function $g(x) = 2 - rac{3}{ ext{ln}(x)}$?
What is the vertical asymptote of the function $g(x) = 2 - rac{3}{ ext{ln}(x)}$?
- $x = e$
- $x = 1$
- $x = 0$ (correct)
- $x = -1$
Which of the following transformations would result in a vertical stretch of the function $h(x) = ext{log}_2(x)$?
Which of the following transformations would result in a vertical stretch of the function $h(x) = ext{log}_2(x)$?
- $h(x) = 2 imes ext{log}_2(x)$ (correct)
- $h(x) = -2 imes ext{log}_2(x)$
- $h(x) = ext{log}_2(2x)$
- $h(x) = rac{1}{2} imes ext{log}_2(x)$
What is the inverse function of $f(x) = e^{2x} + 1$?
What is the inverse function of $f(x) = e^{2x} + 1$?
What is the vertical asymptote of the function $g(x) = 3 - \frac{1}{\ln(x)}$?
What is the vertical asymptote of the function $g(x) = 3 - \frac{1}{\ln(x)}$?
Which of the following transformations would result in a horizontal compression of the function $h(x) = \log_3(x)$?
Which of the following transformations would result in a horizontal compression of the function $h(x) = \log_3(x)$?
Which of the following transformations would result in a vertical compression of the function $f(x) = e^{2x}$?
Which of the following transformations would result in a vertical compression of the function $f(x) = e^{2x}$?
What is the horizontal asymptote of the function $g(x) = 3 - \frac{1}{\ln(x)}$?
What is the horizontal asymptote of the function $g(x) = 3 - \frac{1}{\ln(x)}$?
Which of the following transformations would result in a horizontal stretch of the function $h(x) = \log_2(x)$?
Which of the following transformations would result in a horizontal stretch of the function $h(x) = \log_2(x)$?
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